Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb

Abstract We study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state phase diagram as a function of the ratio between Heisenberg (J = cosϕ) and Kitaev (K = sinϕ) interactions....

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Autores principales:	Cliò Efthimia Agrapidis, Jeroen van den Brink, Satoshi Nishimoto
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4bd27e04ee6148e99dddc79b6e43aafd
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spelling	oai:doaj.org-article:4bd27e04ee6148e99dddc79b6e43aafd2021-12-02T15:08:06ZOrdered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb10.1038/s41598-018-19960-42045-2322https://doaj.org/article/4bd27e04ee6148e99dddc79b6e43aafd2018-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-19960-4https://doaj.org/toc/2045-2322Abstract We study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state phase diagram as a function of the ratio between Heisenberg (J = cosϕ) and Kitaev (K = sinϕ) interactions. Depending on the ratio, the system exhibits four long-range ordered states: ferromagnetic-z, ferromagnetic-xy, staggered-xy, Néel-z, and two liquid states: Tomonaga-Luttinger liquid and spiral-xy. The two Kitaev points $${\boldsymbol{\phi }}{\boldsymbol{=}}\frac{{\boldsymbol{\pi }}}{{\bf{2}}}$$ ϕ = π 2 and $${\boldsymbol{\varphi }}{\boldsymbol{=}}\frac{{\bf{3}}{\boldsymbol{\pi }}}{{\bf{2}}}$$ φ = 3 π 2 are singular. The ϕ-dependent phase diagram is similar to that for the 2D honeycomb-lattice KH model. Remarkably, all the ordered states of the honeycomb-lattice KH model can be interpreted in terms of the coupled KH chains. We also discuss the magnetic structure of the K-intercalated RuCl3, a potential Kitaev material, in the framework of the 1D KH model. Furthermore, we demonstrate that the low-lying excitations of the 1D KH Hamiltonian can be explained within the combination of the known six-vertex model and spin-wave theory.Cliò Efthimia AgrapidisJeroen van den BrinkSatoshi NishimotoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-18 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Cliò Efthimia Agrapidis Jeroen van den Brink Satoshi Nishimoto Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
description	Abstract We study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state phase diagram as a function of the ratio between Heisenberg (J = cosϕ) and Kitaev (K = sinϕ) interactions. Depending on the ratio, the system exhibits four long-range ordered states: ferromagnetic-z, ferromagnetic-xy, staggered-xy, Néel-z, and two liquid states: Tomonaga-Luttinger liquid and spiral-xy. The two Kitaev points $${\boldsymbol{\phi }}{\boldsymbol{=}}\frac{{\boldsymbol{\pi }}}{{\bf{2}}}$$ ϕ = π 2 and $${\boldsymbol{\varphi }}{\boldsymbol{=}}\frac{{\bf{3}}{\boldsymbol{\pi }}}{{\bf{2}}}$$ φ = 3 π 2 are singular. The ϕ-dependent phase diagram is similar to that for the 2D honeycomb-lattice KH model. Remarkably, all the ordered states of the honeycomb-lattice KH model can be interpreted in terms of the coupled KH chains. We also discuss the magnetic structure of the K-intercalated RuCl3, a potential Kitaev material, in the framework of the 1D KH model. Furthermore, we demonstrate that the low-lying excitations of the 1D KH Hamiltonian can be explained within the combination of the known six-vertex model and spin-wave theory.
format	article
author	Cliò Efthimia Agrapidis Jeroen van den Brink Satoshi Nishimoto
author_facet	Cliò Efthimia Agrapidis Jeroen van den Brink Satoshi Nishimoto
author_sort	Cliò Efthimia Agrapidis
title	Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
title_short	Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
title_full	Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
title_fullStr	Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
title_full_unstemmed	Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
title_sort	ordered states in the kitaev-heisenberg model: from 1d chains to 2d honeycomb
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/4bd27e04ee6148e99dddc79b6e43aafd
work_keys_str_mv	AT clioefthimiaagrapidis orderedstatesinthekitaevheisenbergmodelfrom1dchainsto2dhoneycomb AT jeroenvandenbrink orderedstatesinthekitaevheisenbergmodelfrom1dchainsto2dhoneycomb AT satoshinishimoto orderedstatesinthekitaevheisenbergmodelfrom1dchainsto2dhoneycomb
_version_	1718388249766920192

Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb

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